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Original Articles

Torsion pairs over n-hereditary rings

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Pages 1892-1907 | Received 08 Jun 2017, Accepted 30 Aug 2018, Published online: 22 Feb 2019

References

  • Anderson, F. W., Fuller, K. R. (1992). Rings and Categories of Modules, Volume 13 of Graduate Texts in Mathematics, 2nd ed. New York: Springer-Verlag.
  • Angeleri Hügel, L., Happel, D., Krause, H., eds. (2007). Handbook of Tilting Theory, Volume 332 of London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press.
  • Angeleri H€ugel, L., Herbera, D., Trlifaj, J. (2006). Tilting modules and Gorenstein rings. Forum Math. 18(2): 211–229.
  • Assem, I., Saorín, M. (2005). Abelian exact subcategories closed under predecessors. Commun. Algebra 33(4): 1205–1216.
  • Bravo, D., Gillespie, J., Hovey, M. (2014). The stable module category of a general ring. ArXiv e-Prints, May.
  • Bazzoni, S., Herbera, D. (2009). Cotorsion pairs generated by modules of bounded projective dimension. Isr. J. Math. 174(1): 119–160.
  • Bieri, R. (1976). Homological Dimension of Discrete Groups. London: Mathematics Department, Queen Mary College, Queen Mary College Mathematics Notes.
  • Bravo, D., Pérez, M. A. (2017). Finiteness conditions and cotorsion pairs. J. Pure Appl. Algebra. 221(6): 1249–1267.
  • Bravo, D., Parra, C. E. (2018). tCG torsion pairs. J. Algebra Appl. DOI:10.1142/S0219498819501275
  • Brown, K. S. (1982). Cohomology of Groups (Graduate Texts in Mathematics). New York: Springer.
  • Cartan, H., Eilenberg, S. (1999). Homological Algebra. Princeton Landmarks in Mathematics. Princeton, NJ: Princeton University Press. With an appendix by David A. Buchsbaum, Reprint of the 1956 original.
  • Colpi, R., Gregorio, E., Mantese, F. (2007). On the heart of a faithful torsion theory. J. Algebra 307(2): 841–863.
  • Colpi, R. (1999). Tilting in Grothendieck categories. Forum Math. 11(6): 735–759.
  • Colpi, R., Trlifaj, J. (1995). Tilting modules and tilting torsion theories. J. Algebra. 178(2): 614–634.
  • Dickson, S. E. (1966). A torsion theory for Abelian categories. Trans. Am. Math. Soc. 121(1): 223–235.
  • Enochs, E. E., Jenda, O. M. G. (2011). Relative Homological Algebra. Volume 1, Volume 30 of De Gruyter Expositions in Mathematics, extended edition. Berlin: Walter de Gruyter GmbH & Co.
  • Faith, C. (1999). Rings and Things and a Fine Array of Twentieth Century Associative Algebra. Mathematical Surveys and Monographs, Vol. 65. Providence, RI: American Mathematical Society.
  • Göbel, R., Trlifaj, J. (2006). Approximations and Endomorphism Algebras of Modules. De Gruyter Expositions in Mathematics, Vol. 41. Berlin, Germany: Walter de Gruyter GmbH & Co. KG.
  • Hrbek, M. (2016). One-tilting classes and modules over commutative rings. J. Algebra 462: 1–22.
  • Happel, D., Reiten, I., Smalø, S. O. (1996). Tilting in abelian categories and quasitilted algebras. Mem. Am. Math. Soc. 120(575): viii+88.
  • Lam, T. Y. (1999). Lectures on Modules and Rings. Graduate Texts in Mathematics. New York: Springer.
  • Megibben, C. (1970). Absolutely pure modules. Proc. Am. Math. Soc. 26(4): 561–566.
  • Parra, C. E., Saorín, M. (2015). Direct limits in the heart of a t-structure: the case of a torsion pair. J. Pure Appl. Algebra 219(9): 4117–4143.
  • Roos, J.-E. (1982). Finiteness conditions in commutative algebra and solution of a problem of Vasconcelos. In Commutative Algebra: Durham 1981 (Durham, 1981), Volume 72 of London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press, pp. 179–203.
  • Rotman, J. J. (2008). An Introduction to Homological Algebra. Universitext. New York: Springer.
  • Stenström, B. (1970). Coherent rings and fp-injective modules. J. Lond Math. Soc. 2(2): 323–329.
  • Stenström, B. (1975). Rings of Quotients. New York/Heidelberg: Springer-Verlag. Die Grundlehren der Mathematischen Wissenschaften, Band 217, An introduction to methods of ring theory.
  • Vasconcelos, W. V. (1976). The Rings of Dimension Two. Lecture Notes in Pure and Applied Mathematics, Vol. 22. New York/Basel: Marcel Dekker, Inc.
  • Zhao, T., Pérez, M. A. (2017). Relative FP-injective and FP-flat complexes and their model structures. ArXiv e-Prints, March.

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